Does the moon appear to be a different size when it is rising?
yes it does because it has to circle and while it is doing that the moon is circling around the earth. The atmosphere has moisture in it. This moisture can act like a magnifying glass and make the moon appear bigger in the sky at or near the horizion.
If you look straight up you can see little or no moisture but if you look at the horizion youre looking through 15-20 miles of 63 mile thick atmosphere. This same effect happens to the sun as well. It doesnt happen everyday because the atmospheric conditions have to be just right. This is best seen at the ocean.